11878880 has 48 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 4385280.

The previous prime is 11878873. The next prime is 11878891. The reversal of 11878880 is 8887811.

It is a super-2 number, since 2×11878880² = 282215580108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (629748).

Almost surely, 2^11878880 is an apocalyptic number.

11878880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11878880 is an abundant number, since it is smaller than the sum of its proper divisors (18349024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11878880 is a wasteful number, since it uses less digits than its factorization.

11878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 41.

The square root of 11878880 is about 3446.5751116144. The cubic root of 11878880 is about 228.1699768702.

The spelling of 11878880 in words is "eleven million, eight hundred seventy-eight thousand, eight hundred eighty".